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SASMO 2021 Grade 9 Question 16

SASMO · SASMO 2021 Grade 9

Question 16

What is the least number of whole numbers that must be selected from $\{1,2,3,\ldots,36,37\}$ to guarantee that one selected number is divisible by another?

Interpretation: Select distinct entries, without replacement. The guarantee must hold for every possible selection.

Answer format: an integer without units. Leading zeros are optional; the source uses four digit boxes.